Basics of BRST quantization on inner product spaces

Details Basics of BRST quantization on inner product spaces Basics of BRST quantization on inner product spaces

1998-10-16

arxiv.org/abs/hep-th/9810125v2

Int.J.Mod.Phys. A15 (2000) 833-868

Physics

High Energy Physics

High Energy Physics - Theory

32 pages,Latexfile,improved presentation and several new remarks

Scientific paper

10.1142/S0217751X00000409

There is an elaborated abstract form of BRST quantization on inner product spaces within the operator formalism which leads to BRST invariant states of the form |ph>=e^{[Q,\psi]} |\phi> where \psi is a gauge fixing fermion, and where |\phi> is a BRST invariant state determined by simple hermitian conditions. These state representations are closely related to the path integral formulation. Here we analyse the basics of this approach in detail. The freedom in the choice of \psi and |\phi> as well as their properties under gauge transformations are explicitly determined for simple abelian models. In all considered cases SL(2,R) is shown both to be a natural extended gauge symmetry and to be useful to determine |ph>. The results are also applied to nonabelian models.

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